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2 problems match “tangent lengths”. Clear

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1. Incircle touch points angle ●●○○○ 20 ptsIn triangle $ABC$, $\angle BAC = 72^\circ$. The incircle of triangle $ABC$ touches sides $BC$, $AC$, and $AB$ at $D$, $E$, and $F$, respectively. Find $\angle EDF$, in degrees.
2. Hypotenuse of a 30-60-90 triangle ●●○○○ 20 ptsIn right triangle $ABD$, the right angle is at $D$ and $\angle ABD = 60^\circ$. The inscribed circle of the triangle has radius 6 cm. Find the length of $\overline{AB}$ in centimeters. Round to two decimal places.